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Finding the Fourth Proportional to 834,336,837.40, 1,170,490,219.40 and 834,336,837.40

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Solution

The fourth proportional to 834,336,837.40, 1,170,490,219.40 and 834,336,837.40 is: 1,170,490,219.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,336,837.40 : 1,170,490,219.40 = 834,336,837.40 : x
  2. Step 2: Convert to fraction form
    834,336,837.40/1,170,490,219.40 = 834,336,837.40/x
  3. Step 3: Cross multiply
    834,336,837.40x = 1,170,490,219.40 × 834,336,837.40
  4. Step 4: Simplify right side
    834,336,837.40x = 976,583,107,861,828,224
  5. Step 5: Solve for x
    x = 976,583,107,861,828,224/834,336,837.40
  6. Step 6: Final answer
    x = 1,170,490,219.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.